Write in y=mx+b Form 0.02x+0.08y=0.16

$0.02 x + 0.08 y = 0.16$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Subtract $0.02 x$ from both sides of the equation.

$0.08 y = 0.16 - 0.02 x$

Divide each term in $0.08 y = 0.16 - 0.02 x$ by $0.08$ and simplify.

Divide each term in $0.08 y = 0.16 - 0.02 x$ by $0.08$ .

$\frac{0.08 y}{0.08} = \frac{0.16}{0.08} + \frac{- 0.02 x}{0.08}$

Simplify the left side.

Cancel the common factor of $0.08$ .

Cancel the common factor.

$\frac{0.08 y}{0.08} = \frac{0.16}{0.08} + \frac{- 0.02 x}{0.08}$

Divide $y$ by $1$ .

$y = \frac{0.16}{0.08} + \frac{- 0.02 x}{0.08}$

Simplify the right side.

Simplify each term.

Divide $0.16$ by $0.08$ .

$y = 2 + \frac{- 0.02 x}{0.08}$

Move the negative in front of the fraction.

$y = 2 - \frac{(0.02) x}{0.08}$

Factor $0.02$ out of $0.02 x$ .

$y = 2 - \frac{0.02 (x)}{0.08}$

Factor $0.08$ out of $0.08$ .

$y = 2 - \frac{0.02 (x)}{0.08 (1)}$

Separate fractions.

$y = 2 - (\frac{0.02}{0.08} \cdot \frac{x}{1})$

Divide $0.02$ by $0.08$ .

$y = 2 - (0.25 \frac{x}{1})$

Cancel the common factor of $0.25$ .

Factor $0.25$ out of $1$ .

$y = 2 - (0.25 \frac{x}{0.25 \cdot 4})$

Cancel the common factor.

$y = 2 - (0.25 \frac{x}{0.25 \cdot 4})$

Rewrite the expression.

$y = 2 - \frac{x}{4}$

Write in $y = m x + b$ form.

Reorder $2$ and $- \frac{x}{4}$ .

$y = - \frac{x}{4} + 2$

Reorder terms.

$y = - (\frac{1}{4} x) + 2$

Remove parentheses.

$y = - \frac{1}{4} x + 2$